TSTP Solution File: COL003-7 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : COL003-7 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Fri Jul 15 00:24:33 EDT 2022
% Result : Unsatisfiable 74.47s 9.75s
% Output : CNFRefutation 74.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL003-7 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.14/0.34 % Computer : n019.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue May 31 08:30:10 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.37 # No SInE strategy applied
% 0.14/0.37 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.14/0.37 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.14/0.37 #
% 0.14/0.37 # Presaturation interreduction done
% 0.14/0.37 # Number of axioms: 4 Number of unprocessed: 4
% 0.14/0.37 # Tableaux proof search.
% 0.14/0.37 # APR header successfully linked.
% 0.14/0.37 # Hello from C++
% 0.14/0.37 # The folding up rule is enabled...
% 0.14/0.37 # Local unification is enabled...
% 0.14/0.37 # Any saturation attempts will use folding labels...
% 0.14/0.37 # 4 beginning clauses after preprocessing and clausification
% 0.14/0.37 # Creating start rules for all 1 conjectures.
% 0.14/0.37 # There are 1 start rule candidates:
% 0.14/0.37 # Found 3 unit axioms.
% 0.14/0.37 # 1 start rule tableaux created.
% 0.14/0.37 # 1 extension rule candidate clauses
% 0.14/0.37 # 3 unit axiom clauses
% 0.14/0.37
% 0.14/0.37 # Requested 8, 32 cores available to the main process.
% 0.14/0.37 # There are not enough tableaux to fork, creating more from the initial 1
% 0.14/0.37 # Creating equality axioms
% 0.14/0.37 # Ran out of tableaux, making start rules for all clauses
% 0.14/0.37 # Returning from population with 9 new_tableaux and 0 remaining starting tableaux.
% 0.14/0.37 # We now have 9 tableaux to operate on
% 74.47/9.75 # There were 1 total branch saturation attempts.
% 74.47/9.75 # There were 0 of these attempts blocked.
% 74.47/9.75 # There were 0 deferred branch saturation attempts.
% 74.47/9.75 # There were 0 free duplicated saturations.
% 74.47/9.75 # There were 1 total successful branch saturations.
% 74.47/9.75 # There were 0 successful branch saturations in interreduction.
% 74.47/9.75 # There were 0 successful branch saturations on the branch.
% 74.47/9.75 # There were 1 successful branch saturations after the branch.
% 74.47/9.75 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 74.47/9.75 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 74.47/9.75 # Begin clausification derivation
% 74.47/9.75
% 74.47/9.75 # End clausification derivation
% 74.47/9.75 # Begin listing active clauses obtained from FOF to CNF conversion
% 74.47/9.75 cnf(i_0_5, plain, (apply(apply(apply(b,X1),X2),X3)=apply(X1,apply(X2,X3)))).
% 74.47/9.75 cnf(i_0_6, plain, (apply(apply(w,X1),X2)=apply(apply(X1,X2),X2))).
% 74.47/9.75 cnf(i_0_8, negated_conjecture, (~fixed_point(apply(apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b)),b)))).
% 74.47/9.75 cnf(i_0_7, plain, (fixed_point(X1)|apply(fixed_pt,apply(X1,fixed_pt))!=apply(X1,fixed_pt))).
% 74.47/9.75 cnf(i_0_14, plain, (X4=X4)).
% 74.47/9.75 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 74.47/9.75 # Begin printing tableau
% 74.47/9.75 # Found 7 steps
% 74.47/9.75 cnf(i_0_5, plain, (apply(apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b),apply(b,fixed_pt))=apply(apply(apply(b,apply(w,w)),apply(b,w)),apply(b,apply(b,fixed_pt)))), inference(start_rule)).
% 74.47/9.75 cnf(i_0_20, plain, (apply(apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b),apply(b,fixed_pt))=apply(apply(apply(b,apply(w,w)),apply(b,w)),apply(b,apply(b,fixed_pt)))), inference(extension_rule, [i_0_17])).
% 74.47/9.75 cnf(i_0_33, plain, (apply(apply(apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b)),b),fixed_pt)!=apply(apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b),apply(b,fixed_pt))), inference(closure_rule, [i_0_5])).
% 74.47/9.75 cnf(i_0_32, plain, (apply(apply(apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b)),b),fixed_pt)=apply(apply(apply(b,apply(w,w)),apply(b,w)),apply(b,apply(b,fixed_pt)))), inference(extension_rule, [i_0_17])).
% 74.47/9.75 cnf(i_0_47, plain, (apply(apply(apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b)),b),fixed_pt)=apply(fixed_pt,apply(apply(apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b)),b),fixed_pt))), inference(extension_rule, [i_0_7])).
% 74.47/9.75 cnf(i_0_50, plain, (fixed_point(apply(apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b)),b))), inference(closure_rule, [i_0_8])).
% 74.47/9.75 cnf(i_0_49, plain, (apply(fixed_pt,apply(apply(apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b)),b),fixed_pt))!=apply(apply(apply(b,apply(w,w)),apply(b,w)),apply(b,apply(b,fixed_pt)))), inference(etableau_closure_rule, [i_0_49, ...])).
% 74.47/9.75 # End printing tableau
% 74.47/9.75 # SZS output end
% 74.47/9.75 # Branches closed with saturation will be marked with an "s"
% 74.47/9.77 # There were 1 total branch saturation attempts.
% 74.47/9.77 # There were 0 of these attempts blocked.
% 74.47/9.77 # There were 0 deferred branch saturation attempts.
% 74.47/9.77 # There were 0 free duplicated saturations.
% 74.47/9.77 # There were 1 total successful branch saturations.
% 74.47/9.77 # There were 0 successful branch saturations in interreduction.
% 74.47/9.77 # There were 0 successful branch saturations on the branch.
% 74.47/9.77 # There were 1 successful branch saturations after the branch.
% 74.47/9.77 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 74.47/9.77 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 74.47/9.77 # Begin clausification derivation
% 74.47/9.77
% 74.47/9.77 # End clausification derivation
% 74.47/9.77 # Begin listing active clauses obtained from FOF to CNF conversion
% 74.47/9.77 cnf(i_0_5, plain, (apply(apply(apply(b,X1),X2),X3)=apply(X1,apply(X2,X3)))).
% 74.47/9.77 cnf(i_0_6, plain, (apply(apply(w,X1),X2)=apply(apply(X1,X2),X2))).
% 74.47/9.77 cnf(i_0_8, negated_conjecture, (~fixed_point(apply(apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b)),b)))).
% 74.47/9.77 cnf(i_0_7, plain, (fixed_point(X1)|apply(fixed_pt,apply(X1,fixed_pt))!=apply(X1,fixed_pt))).
% 74.47/9.77 cnf(i_0_14, plain, (X4=X4)).
% 74.47/9.77 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 74.47/9.77 # Begin printing tableau
% 74.47/9.77 # Found 7 steps
% 74.47/9.77 cnf(i_0_5, plain, (apply(apply(apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b)),b),fixed_pt)=apply(apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b),apply(b,fixed_pt))), inference(start_rule)).
% 74.47/9.77 cnf(i_0_20, plain, (apply(apply(apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b)),b),fixed_pt)=apply(apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b),apply(b,fixed_pt))), inference(extension_rule, [i_0_17])).
% 74.47/9.77 cnf(i_0_34, plain, (apply(apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b),apply(b,fixed_pt))!=apply(apply(apply(b,apply(w,w)),apply(b,w)),apply(b,apply(b,fixed_pt)))), inference(closure_rule, [i_0_5])).
% 74.47/9.77 cnf(i_0_32, plain, (apply(apply(apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b)),b),fixed_pt)=apply(apply(apply(b,apply(w,w)),apply(b,w)),apply(b,apply(b,fixed_pt)))), inference(extension_rule, [i_0_17])).
% 74.47/9.77 cnf(i_0_47, plain, (apply(apply(apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b)),b),fixed_pt)=apply(fixed_pt,apply(apply(apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b)),b),fixed_pt))), inference(extension_rule, [i_0_7])).
% 74.47/9.77 cnf(i_0_50, plain, (fixed_point(apply(apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b)),b))), inference(closure_rule, [i_0_8])).
% 74.47/9.77 cnf(i_0_49, plain, (apply(fixed_pt,apply(apply(apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b)),b),fixed_pt))!=apply(apply(apply(b,apply(w,w)),apply(b,w)),apply(b,apply(b,fixed_pt)))), inference(etableau_closure_rule, [i_0_49, ...])).
% 74.47/9.77 # End printing tableau
% 74.47/9.77 # SZS output end
% 74.47/9.77 # Branches closed with saturation will be marked with an "s"
% 74.47/9.77 # Child (11228) has found a proof.
% 74.47/9.77
% 74.47/9.77 # Proof search is over...
% 74.47/9.77 # Freeing feature tree
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